To determine the relationship between pressure and volume based on the given data, follow these steps:
1. Review the Table:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Pressure (torr)} & \text{Volume (mL)} \\
\hline
750 & 30 \\
\hline
950 & 22 \\
\hline
1150 & 19 \\
\hline
1350 & 15 \\
\hline
1500 & 13 \\
\hline
1650 & 10 \\
\hline
\end{array}
\][/tex]
2. Identify Patterns in the Data:
- Observe how the pressure values change:
[tex]\[
750, 950, 1150, 1350, 1500, 1650
\][/tex]
Clearly, the pressure is increasing.
- Observe how the volume values change:
[tex]\[
30, 22, 19, 15, 13, 10
\][/tex]
Clearly, the volume is decreasing.
3. Evaluate Statements:
- As pressure increases, volume increases: This is not true because as pressure goes up, volume goes down.
- As pressure decreases, volume decreases: This statement is irrelevant because we are given data where the pressure increases, not decreases.
- As pressure increases, volume decreases: This statement is consistent with the observed pattern in the table.
- As pressure increases, volume stays constant: This is not true because volume changes as pressure changes.
4. Conclusion:
Given the increasing pressure values correspond to decreasing volume values, we can accurately state that:
[tex]\[
\textbf{As pressure increases, volume decreases.}
\][/tex]
Therefore, the correct statement that accurately represents the relationship between pressure and volume is:
As pressure increases, volume decreases.
